2. Suppose 10 people toss their hats into a box and then take turns drawing hats at random, so each person ends up with one hat. How many possible permutations of the hats are there? Assume that each such permuation is equally likely. Let Si be one if the ith person gets her own hat, zero otherwise. (a) Calculate mean and variance of S.

Q: Use the union rule to answer. If n(A) = 6, n(B) = 11 and n(An B) = 5, what is n(A U B)? n(A U B) =

A:

Q: An BnC (A-B)U(A-C)U(3 Match each of the options above to the items below. S Di An (BUC) 4

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Q: 1 dx

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Q: 6. Evaluate the following: (ey)dy dx 0. A. e-1 e-1 C. 2e +7 2. D. e?

A: Given: I=∫01∫0y3exydydx   As we know the basic integral formula; ∫eax+bdx=1aeax+b+C

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Q: Find a, b, c, and d, if а b 1 3 d 2.

A: A matrix is an object with certain number of rows and certain number of columns. An entry in a…

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A: Given query is to find the value ofnthe indicated trigonometric function.

Q: d) -1 2(1 + 1)d

A: Ans:

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A: Given: A=15, 3, 2, 5B=3, 5, 2, 10C=2, 5, 2, 15

Q: Find, if possible, (a) AB and (b) BA.

A: We know the order of a matrix is defined as  ---->  m x n where, m = number of rows…

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A: Given the second order differential equationy"+8y'+25y=e−2t

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A: BODMAS Rule: B - Brackets O - Order of powers or roots D - Division M - Multiplication A - Addition…

Q: Q.8 Evaluate: n-l'n' Pdx=

A:

Q: Pind D owain and The range 2. 2メ - Sec 4.

A: I have solved using the range of cosinex

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A: We have to find the value

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A: Given: Connected graph: Number of vertices=7 (A,B, C, D, E, F, G) Number of edges=10 (AB, BC, CD,…

Q: (Reconstruction Attacks.) Suppose the U.S. Census Bureau releases the tabulations of various summary…

A: Given the summary statistics as

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Q: 3 -1 -2 4 If A= Then ||A|l = Select one: а. 6 b. 5 c. 4 d. 3

A:

Q: Consider the frames o X Y Z and o XYZ shown in the 0000 1111 figure. Find the rotation matrix Rº. xo…

A: Given: Consider the frames οX00Y0Z0 and οX00Y0Z0. The objective is to find the rotation matrix R10.…

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A:

Q: A(-1;0), B(1;2) and C(3; 4) By 5.0 o ot slum d vig iniol nioq

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A:

Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

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Q: if N { A U B }= 90, N {A}= 50, and N{B}= 45, find N {A n B}

A: Given :NAUB=90  NA=50 NB=45

Q: A) Ha: 2 50 B Ha: # + 50 D Ha: # 50

A: Given that  µ = 50 , n = 32

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A: Let us start writing the truth table for given expression and check with all the  given options

Q: A.B? B.A?

A: Given that,A=-9-411 and B=-6-829.   Obtain A·B as follows. A·B=-9-411-6-829      =-9-6-4-8+12+49…

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Q: Simplify. (3)-³ Select one: 12 a. b. 4/2 - 125 64 C. c. 1/1/2 d. - 64 125

A: The answer is given below:

Q: а.) у 2 2х- 6

A:

Q: Find the h,c,f of 12, 15 and 30

A: To determine: HCF of 12, 15 and 30